Furthermore, this line should always be read as A to B, and not simply AB. Every line should be considered as running in but one direction for instance, the line AB should be considered as running from point A to point B and not from point B to point A. It will simplify the study of triangulation if a standard method of development is adopted. The base lines are now drawn in, but before drawing them the draftsman must determine the order in which he intends to develop the pattern. That part of the circumference between the horizontal and vertical diameters is now divided into four equal parts as shown by points A, B, C, and D.
![square to round development square to round development](https://enginemechanics.tpub.com/14119/1411900382im.jpg)
The center points of two sides of the square are first determined as shown by points 1 and 3. The plan may be divided into four equal parts. The transition may be considered as being made up of a rectangular prism, having a portion of a scalene cone at each corner, the spaces between these being filled by triangular-faced pieces.įigure 269 shows one-quarter of the transition removed and the triangles that are to be used in the development of the pattern drawn in their respective positions. Wherever the cross-section of a pipe is changed to another shape the transformation should be gradual in order to avoid excessive friction.įigure 268 is a pictorial view of a square to round transition. In heating and ventilation, square and rectangular pipes are changed to round pipes, and ventilators with round shafts are mounted on rectangular bases. Square to Round Transition.-The sheet metal worker is often called upon to make square to round transitions. 266, attaching them to the base lines of Fig. It is advisable to make a model by cutting out the triangles of Fig.
#Square to round development full#
A straight line 3– A and a curved line A, B, C, D, 2 completes the half pattern, which may now be copied on the other side of line 2–3 to obtain the full pattern. All of these intersecting arcs have the same radii, since the base of the cone was equally divided. In like manner points C, B, and A are located by arcs drawn from points D, C, and B respectively. Point D is located by an arc drawn from point 2 whose radius is equal to distance 2– D of Fig. With point 3 as a center and radii equal to hypotenuse 3– D,3– C, 3– B, and 3– A, arcs are drawn to the left of line 2–3. 267, is now drawn equal in length to the altitude, line 2–3, of Fig.
#Square to round development series#
That branch of pattern drafting known as triangulation takes its name from the fact that the surfaces are developed from a series of triangles whose hypotenuses are equal to certain elements-straight lines drawn on the surface of the cone.Ī vertical line, Fig. The hypotenuses of these triangles are elements of the surface of the cone that is, they are equal in length to lines similarly drawn on the surface of the model. Points A–3, B–3, C–3, and D–3 may now be connected by straight lines, thereby forming four right triangles. Perpendicular lines are erected at point 2 of each line, equal in length to line 2–3 of Fig.
![square to round development square to round development](https://i.ytimg.com/vi/jPR0Hdafles/maxresdefault.jpg)
Corresponding letters and numbers are placed at the extremities of these lines. 266, are now drawn equal in length to lines A–2, B–2, C–2, and D–2 of Fig. These are known as base lines, since they are equal in length to similarly drawn lines on the model that is, they are true lengths.įour horizontal lines, Fig. Straight lines are then drawn connecting point 2 with points A, B, C, and D.
![square to round development square to round development](https://help.autodesk.com/cloudhelp/2016/ENU/Fabrication-UsersGuide/images/GUID-7142214B-51F1-42F3-9CFF-BC544E2DF9D5.png)
The top view is drawn and the circumference of the circle divided into eight equal parts.